Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (1): 97-102.

• Articles • Previous Articles     Next Articles

A Proof of the Complete Convergence Theorem for Contact Processes on Some Product Graphs

YAO Qiang   

  1. Department of Statistics and Actuarial Science, School of Finance and Statistics, East China Normal University, Shanghai 20024
  • Received:2007-12-11 Revised:2009-01-30 Online:2010-01-01 Published:2010-01-01
  • Supported by:

    国家自然科学基金杰出青年项目(10625101)、重点项目(10531070)和国家重点基础研究发展计划(2006CB805900)资助.

Abstract:

In this article a proof of the complete convergence theorem for the basic contact process on the product graph G1×G2×Z is given, provided that the infection parameter is large enough, where G1and G2 are arbitrary infinite locally finite transitive graphs. It extends the
result of Schonmann [1] in some content.

Key words: Contact process, Complete convergence theorem

CLC Number: 

  • 60K35
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